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arXiv 2013-04-10 0 views

Shortest Repetition-Free Words Accepted by Automata

Mousavi, Hamoon · Shallit, Jeffrey

Original · EN

We consider the following problem: given that a finite automaton M of N states accepts at least one k-power-free (resp., overlap-free) word, what is the length of the shortest such word accepted? We give upper and lower bounds which, unfortunately, are widely separated.

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